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Order systems, ideals and right fixed maps of subtraction algebras

전영배|박철환|노은환
대한수학회 (The Korean Mathematical Society)|2008.01|대한수학회논문집 (Communications of the KMS)|제23권 제1호|pp. 1-10

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참고문헌

키워드

(weakcomplicated) subtraction algebra(irreducible) idealorder systemright fixed mapkernel.
주제분류수학

초록

Conditions for an ideal to be irreducible are provided. Thenotion of an order system in a subtraction algebra is introduced, andrelated properties are investigated. Relations between ideals and ordersystems are given. The concept of a xed map in a subtraction algebrais discussed, and related properties are investigated.

Abstract

Conditions for an ideal to be irreducible are provided. Thenotion of an order system in a subtraction algebra is introduced, andrelated properties are investigated. Relations between ideals and ordersystems are given. The concept of a xed map in a subtraction algebrais discussed, and related properties are investigated.

참고문헌 (15)

  1. J. C. Abbott, "Semi-Boolean algebras", Matemat. Vesnik, 4, pp.177~198 (1967)
  2. J. C. Abbott, "Sets, Lattices and Boolean Algebras" (1969), Allyn and Bacon
  3. S. S. Ahn, "A relation on subtraction algebras", Sci. Math. Jpn. Online e-2005, pp.51~55 (2005)
  4. G. Birkhoff, , Amer. Math. Soc. Colloq. Publ, 25 (1984)
  5. G. Gr¨atzer, "Universal Algebra, 2nd edition" (1979), Springer-Verlag
  6. Y. B. Jun, "On ideals in subtraction algebras", Sci. Math. Jpn. Online e-2006, pp.1081~1086 (2006)
  7. Y. B. Jun, "The essence of subtraction algebras", Sci. Math. Jpn. Online e-2006, pp.1069~1074 (2006)
  8. Y. B. Jun, "Weak forms of subtraction algebras", Bull. Korean Math. Soc
  9. Y. B. Jun, "Subtraction algebras with additional conditions", Commun. Korean Math. Soc
  10. Y. B. Jun, "Ideal theory of subtraction algebras", Sci. Math. Jpn. Online e-2004, pp.397~402 (2004)
  11. Y. B. Jun, "Prime and irreducible ideals in subtraction algebras", Ital. J. Pure Appl. Math
  12. Y. B. Jun, "A class of algebras related to BCI-algebras and semigroups", Soochow J. Math, 24(4), pp.309~321 (1998)
  13. Y. H. Kim, "Subtraction algebras and BCK-algebras", Math. Bohemica, 128(1), pp.21~24 (2003)
  14. B. M. Schein, "Difference Semigroups", Comm. Algebra, 20, pp.2153~2169 (1992)
  15. B. Zelinka, "Subtraction Semigroups", Math. Bohemica, 120, pp.445~447 (1995)

관련 논문AI추천

N-IDEALS OF SUBTRACTION ALGEBRAS소금숙, 전영배, Jacob Kavikumar대한수학회 · 대한수학회논문집2010 · 제25권 제2호Symmetric bi-derivations of subtraction algebras김경호강원경기수학회 · 한국수학논문집2021 · 제29권 제2호Weak forms of subtraction algebras김영희, 이경자, 전영배대한수학회 · 대한수학회보2008 · 제45권 제3호Derivations on subtraction algebrasMehmet Ali Öztürk, Yilmaz Ceven대한수학회 · 대한수학회논문집2009 · 제24권 제4호THE ESSENCE OF SUBTRACTION ALGEBRAS BASED ON N-STRUCTURES이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제1호Bipolar fuzzy ideals of subtraction algebras박철환, 이경자, 전영배장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호

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